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Finding the Fourth Proportional to 1,226.66, 1,847.68 and 1,117.64

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Solution

The fourth proportional to 1,226.66, 1,847.68 and 1,117.64 is: 1,683.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.66 : 1,847.68 = 1,117.64 : x
  2. Step 2: Convert to fraction form
    1,226.66/1,847.68 = 1,117.64/x
  3. Step 3: Cross multiply
    1,226.66x = 1,847.68 × 1,117.64
  4. Step 4: Simplify right side
    1,226.66x = 2,065,042.90
  5. Step 5: Solve for x
    x = 2,065,042.90/1,226.66
  6. Step 6: Final answer
    x = 1,683.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.